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Diasem: Difference between revisions

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(This can be seen as follows: Let s' = m + s. Then the fifth generates the mos 5L 2s', which is either diatonic, 7edo or antidiatonic depending on the above conditions.)
(This can be seen as follows: Let s' = m + s. Then the fifth generates the mos 5L 2s', which is either diatonic, 7edo or antidiatonic depending on the above conditions.)
== Modes ==
== Modes ==
Diasem has 18 modes, 9 modes of LH diasem and 9 modes of RH diasem. To minimize bias (e.g. towards certain tunings), this article names the modes after the [[semiquartal]] mode that the diasem mode is based on (the semiquartal modes are given in [[UDP notation]]). We also have provided diatonic-based names, which are useful in tunings where S is relatively small, such as 26edo, and 31edo, and superdiatonic-based names, which may be useful in tunings where L is close to M (such as 28edo).
Diasem has 18 modes, 9 modes of LH diasem and 9 modes of RH diasem.) We have provided names based on the modes of the [[5L 4s]], [[5L 2s]] and [[7L 2s]] temperings of each mode.
=== Cyclic order ===
=== Cyclic order ===
The modes arranged in cyclic order:
The modes arranged in cyclic order:
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! style="text-align:center;" |Right-handed modes
! style="text-align:center;" |Right-handed modes
|-
|-
| | LSLMLSLML <br/>LH Diasem 4|4<br/>LH Diasem Mixo<br/>LH Diasem Superaeolian
| | LSLMLSLML <br/>LH Diasem Nucifragan<br/>LH Diasem Mixo<br/>LH Diasem Superaeolian
| | LMLSLMLSL <br/>RH Diasem 4|4<br/>RH Diasem Aeolian<br/>RH Diasem Supermixo
| | LMLSLMLSL <br/>RH Diasem Nucifragan<br/>RH Diasem Aeolian<br/>RH Diasem Supermixo
|-
|-
| | SLMLSLMLL <br/>LH Diasem 0|8<br/>LH Diasem Bright Aeolian<br/>LH Diasem Superlocrian
| | SLMLSLMLL <br/>LH Diasem Pyrrhocoracian<br/>LH Diasem Bright Aeolian<br/>LH Diasem Superlocrian
| | MLSLMLSLL <br/>RH Diasem 0|8<br/>RH Diasem Locrian<br/>RH Diasem Olympian
| | MLSLMLSLL <br/>RH Diasem Pyrrhocoracian<br/>RH Diasem Locrian<br/>RH Diasem Olympian
|-
|-
| | LMLSLMLLS <br/>LH Diasem 5|3<br/>LH Diasem Dark Aeolian<br/>LH Diasem Superionian
| | LMLSLMLLS <br/>LH Diasem Cornician<br/>LH Diasem Dark Aeolian<br/>LH Diasem Superionian
| | LSLMLSLLM <br/>RH Diasem 5|3<br/>RH Diasem Ionian<br/>RH Diasem Superaeolian
| | LSLMLSLLM <br/>RH Diasem Cornician<br/>RH Diasem Ionian<br/>RH Diasem Superaeolian
|-
|-
| | MLSLMLLSL <br/>LH Diasem 1|7<br/>LH Diasem Locrian<br/>LH Diasem Corinthian
| | MLSLMLLSL <br/>LH Diasem Coloean<br/>LH Diasem Locrian<br/>LH Diasem Corinthian
| | SLMLSLLML <br/>RH Diasem 1|7<br/>RH Diasem Bright Dorian<br/>RH Diasem Superlocrian
| | SLMLSLLML <br/>RH Diasem Coloean<br/>RH Diasem Bright Dorian<br/>RH Diasem Superlocrian
|-
|-
| | LSLMLLSLM <br/>LH Diasem 6|2<br/>LH Diasem Ionian<br/>LH Diasem Superdorian
| | LSLMLLSLM <br/>LH Diasem Stellerian<br/>LH Diasem Ionian<br/>LH Diasem Superdorian
| | LMLSLLMLS <br/>RH Diasem 6|2<br/>RH Diasem Dark Dorian<br/>RH Diasem Superionian
| | LMLSLLMLS <br/>RH Diasem Stellerian<br/>RH Diasem Dark Dorian<br/>RH Diasem Superionian
|-
|-
| | SLMLLSLML <br/>LH Diasem 2|6<br/>LH Diasem Bright Dorian<br/>LH Diasem Superphrygian
| | SLMLLSLML <br/>LH Diasem Frugilegian<br/>LH Diasem Bright Dorian<br/>LH Diasem Superphrygian
| | MLSLLMLSL <br/>RH Diasem 2|6<br/>RH Diasem Phrygian<br/>RH Diasem Corinthian
| | MLSLLMLSL <br/>RH Diasem Frugilegian<br/>RH Diasem Phrygian<br/>RH Diasem Corinthian
|-
|-
| | LMLLSLMLS <br/>LH Diasem 7|1<br/>LH Diasem Dark Dorian<br/>LH Diasem Superlydian
| | LMLLSLMLS <br/>LH Diasem Pican<br/>LH Diasem Dark Dorian<br/>LH Diasem Superlydian
| | LSLLMLSLM <br/>RH Diasem 7|1<br/>RH Diasem Lydian<br/>RH Diasem Superdorian
| | LSLLMLSLM <br/>RH Diasem Pican<br/>RH Diasem Lydian<br/>RH Diasem Superdorian
|-
|-
| | MLLSLMLSL <br/>LH Diasem 3|5<br/>LH Diasem Phrygian<br/>LH Diasem Supermixo
| | MLLSLMLSL <br/>LH Diasem Coracian<br/>LH Diasem Phrygian<br/>LH Diasem Supermixo
| | SLLMLSLML <br/>RH Diasem 3|5<br/>RH Diasem Bright Mixo<br/>RH Diasem Superphrygian
| | SLLMLSLML <br/>RH Diasem Coracian<br/>RH Diasem Bright Mixo<br/>RH Diasem Superphrygian
|-
|-
| | LLSLMLSLM <br/>LH Diasem 8|0<br/>LH Diasem Lydian<br/>LH Diasem Olympian
| | LLSLMLSLM <br/>LH Diasem Cristatan<br/>LH Diasem Lydian<br/>LH Diasem Olympian
| | LLMLSLMLS <br/>RH Diasem 8|0<br/>RH Diasem Dark Mixo<br/>RH Diasem Superlydian
| | LLMLSLMLS <br/>RH Diasem Cristatan<br/>RH Diasem Dark Mixo<br/>RH Diasem Superlydian
|}
|}


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